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Finding the Fourth Proportional to 211,359.11, 291,693.96 and 115,884

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Solution

The fourth proportional to 211,359.11, 291,693.96 and 115,884 is: 159,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,359.11 : 291,693.96 = 115,884 : x
  2. Step 2: Convert to fraction form
    211,359.11/291,693.96 = 115,884/x
  3. Step 3: Cross multiply
    211,359.11x = 291,693.96 × 115,884
  4. Step 4: Simplify right side
    211,359.11x = 33,802,662,860.64
  5. Step 5: Solve for x
    x = 33,802,662,860.64/211,359.11
  6. Step 6: Final answer
    x = 159,930.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.